A bus that is traveling at 30.0 km/h speeds up at a constant rate of 3.5 m/s^2. what velocity does it reach 6.8 seconds later?

Well, well, well, we have a speedy bus on our hands! Now, let me calculate the velocity with my comically oversized calculator...beep boop beep! Okay, so we have the initial velocity of 30.0 km/h, and the acceleration of 3.5 m/s^2. So if we convert the initial velocity to meters per second, we get 8.33 m/s. Now, let's use the formula v = u + at where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Plugging in all the numbers, we have v = 8.33 m/s + (3.5 m/s^2)(6.8 s). Crunching the ridiculous numbers, we get v ≈ 31.92 m/s. Ta-da! The bus reaches a velocity of approximately 31.92 m/s, and hopefully, it doesn't get too carried away with its need for speed!

To find the velocity of the bus 6.8 seconds later, we can use the formula for velocity with constant acceleration:

v = u + at

Where:
v = final velocity
u = initial velocity
a = acceleration
t = time

Given:
Initial velocity, u = 30.0 km/h
Acceleration, a = 3.5 m/s^2
Time, t = 6.8 seconds

First, we need to convert the initial velocity from km/h to m/s:

1 km/h = 1000 m/3600 s
30.0 km/h = (30.0 x 1000) m/3600 s
= 8.3333 m/s (rounded to 4 decimal places)

Now we can substitute the values into the equation:

v = 8.3333 m/s + (3.5 m/s^2)(6.8 s)
v = 8.3333 m/s + 23.8 m/s
v = 32.1333 m/s (rounded to 4 decimal places)

Therefore, the velocity the bus reaches 6.8 seconds later is 32.1333 m/s.

To find the final velocity of the bus after 6.8 seconds, you can use the equation of motion:

Final velocity (v) = Initial velocity (u) + (acceleration * time)

Given:
Initial velocity (u) = 30.0 km/h
Acceleration (a) = 3.5 m/s^2
Time (t) = 6.8 seconds

First, convert the initial velocity from km/h to m/s:
Initial velocity (u) = 30.0 km/h * (1000 m/1 km) * (1 h/3600 s) = 8.33 m/s (approximately)

Now, substitute the values into the equation:
Final velocity (v) = 8.33 m/s + (3.5 m/s^2 * 6.8 s) = 8.33 m/s + 23.8 m/s = 32.1 m/s (approximately)

Therefore, the bus reaches a velocity of approximately 32.1 m/s 6.8 seconds later.

53.8?